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Finding the Fourth Proportional to 2,118.56, 2,922.90 and 1,233.65

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Solution

The fourth proportional to 2,118.56, 2,922.90 and 1,233.65 is: 1,702.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,118.56 : 2,922.90 = 1,233.65 : x
  2. Step 2: Convert to fraction form
    2,118.56/2,922.90 = 1,233.65/x
  3. Step 3: Cross multiply
    2,118.56x = 2,922.90 × 1,233.65
  4. Step 4: Simplify right side
    2,118.56x = 3,605,835.59
  5. Step 5: Solve for x
    x = 3,605,835.59/2,118.56
  6. Step 6: Final answer
    x = 1,702.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.